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88% T File Edit View History Bookmarks People Window Help https://session.m 1654476&offset; next H 5Chagter 13 Probiem 13.40 previous 7ol7u to assig Problem 13.40 Part A o The figro shows tyringe wih a 40 mangreede, filed with water at 20 C. Foure 1 What is the gauge preesure of the water ight at the point P, where the needle meets the wider chember of the syringe? Neglect the pressure difference caused by the racius change Express your answer using two significant figures Pa My Answers Grilo Continue Radiu, =1.0cm Radius =1.0 mm 10 mis 4.0 cm

Explanation / Answer

Here, Q = (deltaV)/(deltat) = A1V1 = A2V2 = [pi(r4)(deltaP)] / [8L]

=> deltaP = (A*V*8**L) / [(pi)r4]

=>   A = pi*r2 = pi* .0012 = (3.14 * 10-6)   m2

V= 10m/s  
= 1.0 * 10-3       = viscosity
L= .04m

=>   deltaP =   (3.14 * 10-6*10*8*10-3*.04) / [(pi)0.014]

                 =     3200 Pa

=> gauge pressure of the water at the point P =   3200 Pa

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